Question

Find the value of x for which (2)^3x = 8^2.​

Answer 1

Answer:

x = 2

Step-by-step explanation:

Using the rule of exponents

$(a^m)^{n}$ = $a^{mn}$

$(2)^{3x}$ = $2^{3x}$ and 8 = (2³ )² = $2^{6}$ , so

$2^{3x}$ = $2^{6}$

Since the bases on both sides are equal, both 2, equate the exponents

3x = 6 ( divide both sides by 3 )

x = 2